Convergence in distribution of quotients of order statistics

B. Smid and A. J. Stam

Stochastic Processes and their Applications, 1975, vol. 3, issue 3, 287-292

Abstract: Let X1, X2,... be i.i.d. random variables with continuous distribution function F [infinity], with distribution functions xkp, K = 1, 2, .... A strong converse is proved, viz. convergence in distribution of this type of one of the quotients implies regular varation of 1 - F(x).

Keywords: order; statistics; limit; theorem; Wiener-Taubner; theorem; partial; maxima; regular; variation (search for similar items in EconPapers)
Date: 1975
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